Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638968 | Journal of Computational and Applied Mathematics | 2014 | 13 Pages |
Abstract
We analyze implicit general linear methods with s internal stages and r=s+1 external stages of order p=s+1 and stage order q=s or q=s+1. These methods might eventually lead to more efficient formulas than the class of DIMSIMs and the class of general linear methods with inherent Runge-Kutta stability. We analyze also error propagation and estimation of local discretization errors. Examples of such methods which are A- and L-stable are derived up to the stage order q=3 or q=4 and order p=4.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. BraÅ, Z. Jackiewicz,